On classification of four-dimensional nilpotent Leibniz algebras

被引：26

作者：

Demir, Ismail ^{[1
]}

Misra, Kailash C. ^{[1
]}

Stitzinger, Ernie ^{[1
]}

机构：

[1] North Carolina State Univ, Dept Math, 2108 SAS Hall,2311 Stinson Dr,Box 8205, Raleigh, NC 27695 USA

来源：

COMMUNICATIONS IN ALGEBRA | 2017年 / 45卷 / 03期

关键词：

Classification; Leibniz algebra; nilpotency; solvability;

D O I：

10.1080/00927872.2016.1172626

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Leibnizalgebras are certain generalization of Lie algebras. In this paper,we give he classification of four-dirtlensional non-Lie nilpotent Leibniz algebras. We use the canonical forms for the congruerice classes of matrices of bilinear forms and some other techniques to obtain our result.

引用

页码：1012 / 1018

页数：7

共 13 条

[1]

Albeverio S., 2006, EXTRACTA MATH, V21, P197

[2]

Ayupov S., 1999, UZBEK MATH J, V1, P9

[3] SOME THEOREMS ON LEIBNIZ ALGEBRAS [J].